Given the points A(-3,-4) and B(2,0), point P(-1,-12/5) partitions AB in the ratio

  60

Step-by-step explanation:

There are 2+5 = 7 ratio units of students. If we multiply the numbers by 5, we can have a total of 35 ratio units of students: 10 : 25.

Now, we can substitute this into the ratio of teachers to students:

  teachers : students = 3 : 35

  teachers : (male students : female students) = 3 : (10 : 25)

Then the number of teachers is seen to be 3/25 of the number of female students:

  (3/25)(500) = 60 . . . teachers